scholarly journals Solving the problem of equipment distribution using the method of recurrent relations

2021 ◽  
Vol 1 (62) ◽  
pp. 87-94
Author(s):  
Kh. B. Kulchytska ◽  
Keyword(s):  
Recurrent Relations

Coordination sequences and layer-by-layer growth of periodic structures

2019 ◽  
Vol 234 (5) ◽  
pp. 291-299
Author(s):  
Anton Shutov ◽  
Andrey Maleev
Keyword(s):  
Generating Functions ◽  
Diophantine Equations ◽  
Periodic Structures ◽  
Layer Growth ◽  
Layer By Layer ◽  
Explicit Formulas ◽  
New Approach ◽  
Coordination Numbers ◽  
Linear Diophantine Equations ◽  
Recurrent Relations

Abstract A new approach to the problem of coordination sequences of periodic structures is proposed. It is based on the concept of layer-by-layer growth and on the study of geodesics in periodic graphs. We represent coordination numbers as sums of so called sector coordination numbers arising from the growth polygon of the graph. In each sector we obtain a canonical form of the geodesic chains and reduce the calculation of the sector coordination numbers to solution of the linear Diophantine equations. The approach is illustrated by the example of the 2-homogeneous kra graph. We obtain three alternative descriptions of the coordination sequences: explicit formulas, generating functions and recurrent relations.

scholarly journals A note on the recurrent relations for the bivariate Poisson distribution

1985 ◽  
Vol 8 (1) ◽  
pp. 70-78 ◽  
Author(s):  
Kazutomo Kawamura
Keyword(s):  
Poisson Distribution ◽  
Recurrent Relations ◽  
Bivariate Poisson Distribution

scholarly journals Diagnostics of life support systems with limited statistical data on failures

2019 ◽  
Vol 140 ◽  
pp. 05002
Author(s):  
Valentin Senchenkov ◽  
Damir Absalyamov ◽  
Dmitriy Avsyukevich
Keyword(s):  
Life Support ◽  
Support Systems ◽  
Image Synthesis ◽  
Actual State ◽  
Training Procedure ◽  
Life Support Systems ◽  
System Failures ◽  
Object A ◽  
Recurrent Relations ◽  
Formalized Description

The authors suggest an approach to determine the technical conditions of life support systems of public buildings in conditions of significant uncertainty of statistical information on failures. To improve the re1iabi1ity and increase the resources of life support systems, maintenance and repair strategies are proposed according to the actual state, which implies the availability of objective diagnostic information. The essence of methods for constructing images of system failures based on training procedures is revealed, the latter being founded on the theory of nonparametric statistical analysis. The image is understood as a formalized description of the failure as an element of the system diagnosis model. The solution of image synthesis problem is given when the orthogonal trigonometric basis is applied in the recurrent relations implementing the learning process. The specific case assumes the existence of data on ranges of diagnostic parameter change at all failures of the investigated object. A modification of the training procedure is performed to build images of failures of life support systems of the latest generation when it is possible to find the ranges of changes in diagnostic parameters only in operational state. The modification consists of the formation and application of an orthonormal binary basis in recurrent relations. There is an example of image constructing of one of the ventilation and air conditioning system failures of a public building on the basis of a modified training procedure.

Influence of the Form of Pulse of Excitation on the Speed and Power Parameters of the Linear Pulse Electromechanical Converter of the Induction Type

2019 ◽  
Author(s):  
Vladimir F. Bolyukh ◽  
Igor I. Katkov
Keyword(s):  
Experimental Studies ◽  
Excitation Pulse ◽  
Displacement Sensor ◽  
Power Device ◽  
Storage Device ◽  
Capacitive Energy Storage ◽  
Recurrent Relations ◽  
Induction Type ◽  
Linear Pulse ◽  
The Impact

Abstract Linear pulse electromechanical converters (LPEC) of induction type allow providing a high speed of the actuating element in the short active section and creating powerful power impulses with its insignificant movement. One of the ways to improve the electromechanical indicators of LPEC is the formation of current excitation pulses in the inductor using electronic power supply circuits containing a capacitive energy storage device. This publication is a continuation of our previous work on the influence of different parameters and conditions on the performance of LPEC. Using the developed chain mathematical model, recurrent relations are obtained for calculating the interconnected electromagnetic, mechanical and thermal parameters of LPEC. It has been established that the speed and power electromechanical indicators of LPEC with aperiodic excitation pulse are better than those of LPEC with unipolar excitation, but worse than those of LPEC with oscillating-damped excitation pulse. LPEC with a unipolar excitation pulse, by the end of the working cycle, the smallest temperatures of the inductor and the armature are observed, while for LPEC with a oscillating-damped excitation pulse, the greatest efficiency is ensured, being 24.88%. The highest speed and power electromechanical indicators are provided at LPEC with a step-aperiodic excitation pulse. Experimental studies of LPEC were conducted when operating as an electromechanical accelerator and a shock-power device. In studies of LPEC, a piezoelectric transducer was used as a shock-power device, which converted mechanical vibrations arising from the impact of the striker on the impact plate into electrical signals. In studies of LPEC, a displacement sensor was used as an electromechanical accelerator. It was established experimentally that the movement of the armature begins with a delay relative to the moment of occurrence of the current pulse and is almost linear in the initial part of the acceleration.

scholarly journals Boundary Value Problems for Some Important Classes of Recurrent Relations with Two Independent Variables

Symmetry ◽  
2017 ◽  
Vol 9 (12) ◽  
pp. 323 ◽  
Author(s):  
Stevo Stević ◽  
Bratislav Iričanin ◽  
Zdeněk Šmarda
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Independent Variables ◽  
Recurrent Relations ◽  
Two Independent Variables

Evaluating the Holdup Time of Gas-Chromatographic Systems in Various Temperature Regimes by Using Recurrent Relations

2012 ◽  
Vol 75 (13-14) ◽  
pp. 767-777 ◽  
Author(s):  
Igor G. Zenkevich
Keyword(s):  
Recurrent Relations ◽  
Temperature Regimes

Estimation of boiling points of organic compounds at various pressures using recurrent relations

2009 ◽  
Vol 79 (4) ◽  
pp. 778-786 ◽  
Author(s):  
I. G. Zenkevich ◽  
R. E. Kostikov
Keyword(s):  
Organic Compounds ◽  
Boiling Points ◽  
Recurrent Relations

scholarly journals Stability conditions for recurrent relations and their application

1970 ◽  
Vol 15 (3) ◽  
pp. 207-212 ◽  
Author(s):  
Eva Kohútová
Keyword(s):  
Stability Conditions ◽  
Recurrent Relations
Sign in / Sign up

Export Citation Format

Share Document